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Finding the Fourth Proportional to 227,047.40, 340,571.10 and 202,115.60

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Solution

The fourth proportional to 227,047.40, 340,571.10 and 202,115.60 is: 303,173.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,047.40 : 340,571.10 = 202,115.60 : x
  2. Step 2: Convert to fraction form
    227,047.40/340,571.10 = 202,115.60/x
  3. Step 3: Cross multiply
    227,047.40x = 340,571.10 × 202,115.60
  4. Step 4: Simplify right side
    227,047.40x = 68,834,732,219.16
  5. Step 5: Solve for x
    x = 68,834,732,219.16/227,047.40
  6. Step 6: Final answer
    x = 303,173.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.